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Finding the Fourth Proportional to 18,477.54, 27,699.75 and 6,782.58

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Solution

The fourth proportional to 18,477.54, 27,699.75 and 6,782.58 is: 10,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.54 : 27,699.75 = 6,782.58 : x
  2. Step 2: Convert to fraction form
    18,477.54/27,699.75 = 6,782.58/x
  3. Step 3: Cross multiply
    18,477.54x = 27,699.75 × 6,782.58
  4. Step 4: Simplify right side
    18,477.54x = 187,875,770.36
  5. Step 5: Solve for x
    x = 187,875,770.36/18,477.54
  6. Step 6: Final answer
    x = 10,167.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.